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Finding the Fourth Proportional to 507.44, 699.16 and 463.76

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Solution

The fourth proportional to 507.44, 699.16 and 463.76 is: 638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 699.16 = 463.76 : x
  2. Step 2: Convert to fraction form
    507.44/699.16 = 463.76/x
  3. Step 3: Cross multiply
    507.44x = 699.16 × 463.76
  4. Step 4: Simplify right side
    507.44x = 324,242.44
  5. Step 5: Solve for x
    x = 324,242.44/507.44
  6. Step 6: Final answer
    x = 638.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.